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Darcy Forchheimer flow of Jeffrey nanofluid with heat generation/absorption and melting heat transfer

Hayat Tasawar (Quaid-I-Azam University, Department of Mathematics, Islamabad, Pakistan + King Abdulaziz University, Faculty of Science, Department of Mathematics, Nonlinear Analysis and Applied Mathematics Research Group, Jeddah, Saudi Arabia)
Shah Faisal (Quaid-I-Azam University, Department of Mathematics, Islamabad, Pakistan)
Hussain Zakir (Quaid-I-Azam University, Department of Mathematics, Islamabad, Pakistan)
Al-Saedi Ahmed (King Abdulaziz University, Faculty of Science, Department of Mathematics, Nonlinear Analysis and Applied Mathematics Research Group, Jeddah, Saudi Arabia)

This study reports Darcy-Forchheimer flow of MHD Jeffrey nanofluid bounded by non-linear stretching sheet with variable thickness. Thermophoresis and Brownian motion are studied. Heat transfer is accounted with melting heat and heat absorption/generation. Optimal homotopy analysis method is utilized for the solutions development of non-linear ordinary differential system. Outcomes of parameters involved in equation are studied through graphs. Outcomes indicate that ratio parameter declines the velocity. Melting parameter enhances temperature and concentration. Nusselt number increases in the occurrence of thermophoresis Brownian motion

Keywords: Jeffrey fluid, MHD, melting heat transfer, porous medium, heat generation/absorption